Results 91 to 100 of about 347 (175)

New Existence of Multiple Solutions for Fractional Kirchhoff Equations with Logarithmic Nonlinearity

open access: yesFractal and Fractional
By using the Ekeland variational principle and Nehari manifold, we study the following fractional p-Laplacian Kirchhoff equations: M[u]s,pp+∫RNV(x)|u|pdx[(−Δ)psu+V(x)|u|p−2u]=λ|u|q−2uln|u|,x∈RN,(P).
Yuan Gao   +4 more
doaj   +1 more source

On fractional order Kirchhoff hyperbolic equations with logarithmic terms

open access: yesBoundary Value Problems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yichang Xu, Ning Pan
openaire   +3 more sources

A fractional profile decomposition and its application to Kirchhoff-type fractional problems with prescribed mass

open access: yesAdvances in Nonlinear Analysis
In this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint ...
Tian Junshan, Zhang Binlin
doaj   +1 more source

Multiplicity of solutions to a nonlocal Choquard equation involving fractional magnetic operators and critical exponent

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the multiplicity of solutions to a nonlocal fractional Choquard equation involving an external magnetic potential and critical exponent, namely, $$\displaylines{ (a+b[u]_{s,A}^2)(-\Delta)_A^su+V(x)u =\int_{\mathbb{R}^N ...
Fuliang Wang, Mingqi Xiang
doaj  

Normalized solutions of fractional Kirchhoff equations: the defocusing case

open access: yesElectronic Journal of Differential Equations
In this article, we focus on the normalized solutions to the fractional  Kirchhoff equations with subcritical nonlinearities in the defocusing  case. By applying distinct suppositions to the coefficients of  nonlinearities, namely \(q < p\), we prove the existence and nonexistence  of normalized solutions.
Tianqing Zhang, Zhenyu Guo
openaire   +1 more source

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